A leaky value on the water meter overcharges the residents for one gallon of water every 1 1/3 months. The overcharged amount w varies directly with time t find the equation that models this direct variation how many months it will take for the residents to be overcharged for 9 gallons of water?

1 answer

4/3 months/ gallon or 1 gallon/ (4/3) months is 3/4 gallons/month
w = ( 3/4 ) * t
t is in months , w in gallons
9 =(3/4) t
3 = t/4
t = 12 months which is one year.